No. Hit points are a completely separate thing. And yes, every class would have some sort of pool of points. Wizards would have mana, Barbarians rage, Clerics spirit/mana of some sort. Also Utility power will still be present for martial characters. Healing Surges would restore stamina as would spells, and possible potions. I have more written out now. This was just a bare bones test.
Saying you just dislike it really isn't helping though. What would you change? Granted this literally only took me about an hour to think of I would like to design other classes similar to this while still keeping it 4e at it's core.
I was also dropping the whole 1/2 level thing. I seen that you had done that and I genuinely liked what you were saying.